On Tor-Torsion Theories
Commun. Korean Math. Soc. 2005 Vol. 20, No. 2, 209-219
Printed June 1, 2005
M. Golriz, M.H. Bijanzadeh
Islamic Azad University, Teacher Training University
Abstract : Tor-torsion theory was defined by Jan Trlifaj in 2000. In this paper we introduce the notion of Co envelopes, CoCovers and Tor-generators as dual of envelopes, covers and generators in cotorsion(Ext-torsion) theory and deduce that each $R$-module has a projective and a cotorsion coprecover.
Keywords : tor-torsion theory, co(pre)cover, co(pre)envelope, tor-generator
MSC numbers : 13D30
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